The marginal probability distributions of the discrete random variables X and Y are given in the following table: a 1 2 3 4 P(Y=b) 1 5/14 2 4/14 3 2/14/ 4 2/14 1/14 P(X = a) 1/14 5/14 4/14 2/14 2/14 1 Moreover, for a and b from 1 to 5 the joint probability P(X = a, Y = b) is either 0 or 1/14. Determine the joint probability distribution of X and Y

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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3. The marginal probability distributions of the discrete random variables X and Y are
given in the following table:
a
1
2
3
P(Y=b)
5/14
2
4/14
b
3
2/14/
4
2/14
5
1/14
P(X = a)
5/14
4/14
2/14
2/14
1/14
1
Moreover, for a and b from 1 to 5 the joint probability P(X = a, Y = b) is either 0 or
1/14. Determine the joint probability distribution of X and Y
Transcribed Image Text:3. The marginal probability distributions of the discrete random variables X and Y are given in the following table: a 1 2 3 P(Y=b) 5/14 2 4/14 b 3 2/14/ 4 2/14 5 1/14 P(X = a) 5/14 4/14 2/14 2/14 1/14 1 Moreover, for a and b from 1 to 5 the joint probability P(X = a, Y = b) is either 0 or 1/14. Determine the joint probability distribution of X and Y
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